$10,000 at 4% APY daily compound for 5 years
Grows to $12,167. You earn $2,167 in interest at an effective APY of 4%.
Illustrative five-year CD or savings scenario at a stated 4% APY.
How this number was calculated
The input is an effective annual percentage yield (APY). The equivalent daily rate preserves that annual yield over 365 periods:
A = P × (1 + APY)^t
where:
P = $10,000 (principal)
APY = 0.0400 (effective annual yield as decimal)
n = 365 (compounding periods per year — daily)
t = 5 (years)
Equivalent daily rate d = (1 + APY)^(1/365) − 1 = 0.00010746
Final balance = $10,000 × (1 + 0.00010746)^1825
= $12,167
Interest earned = $12,167 − $10,000 = $2,167
Effective APY = (1 + 0.00010746)^365 − 1 = 4%The CFPB defines APY as a rate reflecting both the interest rate and compounding frequency over a 365-day period. This projection holds the stated APY constant and converts it to an equivalent daily rate; actual account day-count and crediting terms can differ. See the CFPB's Regulation DD APY definition. Want to run a different combination? Open the full calculator.
Year-by-year breakdown
| Year | Interest earned | Year-end balance |
|---|---|---|
| 1 | $400 | $10,400 |
| 2 | $416 | $10,816 |
| 3 | $433 | $11,249 |
| 4 | $450 | $11,699 |
| 5 | $468 | $12,167 |
Related daily-compound scenarios
Change principal, APY, or years to model your exact HYSA, CD, or money market scenario. Visual chart and year-by-year breakdown included.
Open the calculator →Educational tool. APY rates fluctuate with Federal Reserve policy and the rate environment; verify the current rate at your bank's product page before relying on this projection. Past rates do not guarantee future rates. Verified 2026-10-12.